In this paper, we present and compare two nine-point finite volume schemes to reduce the so-called grid orientation effect (GOE) which occurs in the simulation of unstable two phase flow in porous media. The first scheme is a more classical nine-point scheme with one tuning parameter whereas the second one, more original, uses two parameters (one per direction). A numerical test problem testify to the improvement brought by the new scheme.
CITATION STYLE
Laurent, K., Flauraud, É., Preux, C., Tran, Q. H., & Berthon, C. (2020). Design of coupled finite volume schemes minimizing the grid orientation effect in reservoir simulation. In Springer Proceedings in Mathematics and Statistics (Vol. 323, pp. 575–583). Springer. https://doi.org/10.1007/978-3-030-43651-3_54
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